Premier League teams Leeds and Southampton lost to lower-tier opposition in the second round of the English League Cup on Wednesday.

While a second-string Leeds team lost a penalty shootout 9-8 to third-tier Hull after a 1-1 draw in regulation, Southampton fielded a full-strength lineup but still lost 2-0 at home to second-tier Brentford.

Leeds and Southampton also lost their opening games in the Premier League at the weekend.

Southampton's Danny Ings reacts during the English League Cup soccer match between Southampton and Brentford at St. Mary's Stadium in Southampton, England, Wednesday, Sept. 16, 2020. (Adam DavyPool via AP)

Southampton's Danny Ings reacts during the English League Cup soccer match between Southampton and Brentford at St. Mary's Stadium in Southampton, England, Wednesday, Sept. 16, 2020. (Adam DavyPool via AP)

Brentford's reward is a third-round trip to West Bromwich Albion, which beat fourth-tier Harrogate Town 3-0.

Everton eased past fourth-tier Salford 3-0 thanks to goals by Michael Keane, Gylfi Sigurdsson and Moise Kean, while Aleksandar Mitrovic scored Fulham's goal in a 1-0 win at Ipswich.

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Everton's Gylfi Sigurdsson, left, celebrates after scoring the second goal during the English League Cup soccer match between Everton and Salford City at Goodison Park in Liverpool, England Wednesday, Sept. 16, 2020. (AP PhotoJon Super, Pool)

Everton's Gylfi Sigurdsson, left, celebrates after scoring the second goal during the English League Cup soccer match between Everton and Salford City at Goodison Park in Liverpool, England Wednesday, Sept. 16, 2020. (AP PhotoJon Super, Pool)